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研究生： 陳建安
Chen, Chien-An
論文名稱： 以雪崩光電二極體之非線性效應進行光學自相關干涉
Optical Autocorrelator using Non-Linearity in Avalanche Photodiodes
指導教授： 曾碩彥
Tseng, Shuo-Yen
學位類別： 碩士
Master
系所名稱： 理學院 - 光電科學與工程學系
Department of Photonics
論文出版年： 2012
畢業學年度： 100
語文別： 英文
論文頁數： 60
中文關鍵詞： 光學自相關干涉 、雪崩光電二極體 、雙光子吸收
外文關鍵詞： Optical Autocorrelator, Avalanche Photodiodes, Two-photon absorption
相關次數： 點閱：103  下載：5 
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    • 我們以雪崩光電二極體的非線性特性進行光學強度自相關干涉及光學干涉自相關干涉量測飛秒脈衝雷射。在這篇論文中,我們設計了光學強度自相關干涉及光學干涉自相關干涉以及解釋了為什麼雪崩光電二極體，是個好的選擇。自相關干涉用麥克森干涉的實驗架構去量測鎖模雷射，結果我們可以得知待測的脈衝雷射寬度為600fs及啁啾常數為0.6

    We report on the development and characterization of an intensity autocorrelator and interferometric autocorrelator for measuring short femtosecond pulses using non-linearity of an avalanche photodiode (APD). In this thesis, we design an intensity autocorrelator, interferometric autocorrelator in the non-linear detection process and explain why an APD makes a reasonable choice. An autocorrelator using a Michelson interferometer setup with an APD as a non-linear detector was built and used to measure pulses from a mode-locked laser. Results of the measurements are presented for pulses with a width of 600 fs and a chirp parameter of 0.6 .

    Contents 1 Introduction..................................................................................................1 2 Autocorrelator...............................................................................................3 2.1 Mathematical definition.......................................................................3 2.2 Complex representation of the electric field........................................5 2.3 Optical autocorrelation.......................................................................10 2.4 Pulse amplitude , width and phase reconstruction.............................13 2.5 Autocorrelation in practice.................................................................14 3 Theory of two photon absorption...............................................................15 3.1 Introduction to nonlinear optics.........................................................15 3.1.1 Noncentrosymmetric and centrosymmetric medium..............16 3.2 Two-photon absorption coefficient derivation....................................17 3.2.1 General case of the third-order polarization.........................17 3.2.2 Two-photon absorption coefficient for an isotropic medium.................................................................................18 3.2.3 Quantum mechanical interpretation of third order polarization...........................................................................21 4 Setup and results.........................................................................................23 4.1 Experimental setup to study two-photon absorption.........................24 4.2 Experimental setup to intensity autocorrelation and interferometric autocorrelation...................................................................................31 5 Conclusion..................................................................................................39 Appendix...........................................................................................................41 A Classical explanation of nonlinear susceptibility.......................................41 B Gaussian Beam...........................................................................................48 B.1 Paraxial waves...................................................................................48 B.2 Transmission through a thin lens.......................................................52 B.3 Gaussian beam incident the medium.................................................54 Reference..........................................................................................................59

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